Numerical Methods in Biomedical Engineering

Numerical Modeling in Biomedical Engineering brings together the integrative set of computational problem solving tools important to biomedical engineers. Through the use of comprehensive homework exercises, relevant examples and extensive case studies, this book integrates principles and techniques of numerical analysis. Covering biomechanical phenomena and physiologic, cell and molecular systems, this is an essential tool for students and all those studying biomedical transport, biomedical thermodynamics & kinetics and biomechanics.

Supported by Whitaker Foundation Teaching Materials Program; ABET-oriented pedagogical layoutExtensive hands-on homework exercises

Chapter 1: Modeling Biosystems

Chapter 2: Introduction to Computing

Chapter 3: Concepts of Numerical Analysis

Chapter 4: Linear Models of Biological Systems

Chapter 5: Nonlinear Equations in Biomedical Engineering

Chapter 6: Finite Difference Methods, Interpolation and Integration

Chapter 7: Dynamic Systems: Ordinary Differential Equations

Chapter 8: Dynamic Systems: Partial Differential Equations

Chapter 9: Measurements, Models and Statistics

Chapter 10: Modeling Biosystems

Appendix A: Introduction to MATLAB

Appendix B: Introduction to Simulink

Appendix C: Review of Linear Algebra and Related MATLAB Commands

Appendix D: Analytical Solutions of Differential Equations

Appendix E: Numerical Stability and Other Topics

Index